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# Sin and Cos Periodic Function Calculator

The Sin and cos periodic function calculator is an online tool that shows the graph of the periodicity of sine and cosine function. CoolGyan’S calculator to graph the periodicity of trigonometric functions, sine and cosine, makes calculations, simple and interesting. The calculator here is available for free so that students can make the best use of it.

## Sine and Cosine Periodic Functions

The time interval between the two functions is called a period. When a function repeats itself over a regular interval, then it is called a periodic function. The time interval here is constant for every repetition.

In trigonometry, the distance between the repetition of any function is known as the period of function. The length of one complete cycle is called a period. Both sine and cosine functions have a periodic form of wave function.

In case of sine function, the function makes a complete cycle between 0 and 2π. The distance covered by one complete cycle is 2π. Or we can say, the value of period here is 2π. The graph of cosine function starts from π/2, but the period for this function is also 2π.

## How to Find Sin and Cos Periodicity?

To find the periodicity of sin and cos function, using the calculator here, follow the below steps:

Step 1: Mention the function in the given input field

Step 2: Click on the “Calculate” button to get the result

Step 3: You will get the result in the output field along with the graph

### Try These

Using calculator, try to get result for these functions given below.

• f(x) = sin 4x
• f(x) = cos 2x
• f(x) = sin (x/2)
• f(x) = cos (x/2)